Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 249/108,6309/773
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 249,6309
Greatest Common Factor of Numerators i.e. GCF of 249,6309 is 3 .
LCM of Denominators means LCM of 108,773 as per the given fractions.
LCM of 108,773 is 83484 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 249,6309
3 | 249, 6309 |
83, 2103 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Factors of 6309
List of positive integer factors of 6309 that divides 6309 without a remainder.
1,3,9,701,2103,6309
Greatest Common Factor
We found the factors 249,6309 . The biggest common factor number is the GCF number.
So the greatest common factor 249,6309 is 3.
Lets's calculate LCM of 108,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 83484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/83484
Therefore, the GCF of Fractions 249/108,6309/773 is 3/83484
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 108,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(108,773) x common factors =1 x 1 = 1
LCM(108,773) = ( 108 × 773 ) / 1
LCM(108,773) = 83484 / 1
LCM(108,773) = 83484
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 249/108, 6309/773?
Answer: GCF of Numerators as per given numbers 249/108, 6309/773 is
GCF of Numerators i.e. for 249,6309 is 3
LCM of denominators i.e. for 108,773 is 83484.
Thus, GCF of Fractions is 3/83484.Finally, GCF of Fractions for 249/108, 6309/773 is 3/83484.